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Quartic
function y
=
a4x4
+ a3x3
+
a2x2
+
a1x + a0 |
Thus,
y
= a4x4
+ a3x3
+
a2x2
+
a1x + a0
or y
-
y0
=
a4(x
-
x0)4
+
a2(x
-
x0)2
+
a1(x
-
x0), |
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by
setting x0
=
0 and y0
= 0 we get
the source quartic y
=
a4x4
+
a2x2
+
a1x. |
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By
setting the coefficients a2
and a1
of the source quartic to zero interchangeably, obtained is the
basic classification shown in the diagram. |
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The
graphs of the quartic functions
types 3/1 and 3/2 |
type
3 |
y
= a4x4
+ a3x3
+
a2x2
+
a1x + a0
or y
-
y0
=
a4(x
-
x0)4
+ a2(x
-
x0)2,
a1
= 0. |
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T
(x0,
y0). |
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